Matthias Troyer

TL;DR: In this paper, a mean field theory for an effective Kugel-Khomskii model of localized orbital and spin degrees of freedom was proposed for the RuO4 alloy.

TL;DR: In this article, an analysis of high precision Monte Carlo data for the two dimensional S = 1/2 quantum Heisenberg antiferromagnet up to 95.7(3)$ obtained by the continuous time version of the loop algorithm is presented.

TL;DR: Using perturbative expansions and the contractor renormalization (CORE) algorithm, the authors obtained effective hard core bosonic Hamiltonians describing the low-energy physics of S = 1/2 spin-dimer antiferromagnets known to display supersolid phases under an applied magnetic field.

TL;DR: In this article, two complementary modifications of the hybridization-expansion continuous-time Monte Carlo method, aiming at large multi-orbital quantum impurity problems, were explored. And they showed that bond dimensions considerably smaller than the dimension of the Hilbert space are sufficient to obtain accurate results and that this approach scales polynomially, rather than exponentially with the number of orbitals.

TL;DR: In this paper, the authors studied the interplay between topological and conventional long range order of attractive fermions in a time reversal symmetric Hofstadter lattice using quantum Monte Carlo simulations, focussing on the case of one-third flux quantum per plaquette.